\begin{equation*} \DeclareMathOperator\Coim{Coim} \DeclareMathOperator\Coker{Coker} \DeclareMathOperator\Ext{Ext} \DeclareMathOperator\Hom{Hom} \DeclareMathOperator\Im{Im} \DeclareMathOperator\Ker{Ker} \DeclareMathOperator\Mor{Mor} \DeclareMathOperator\Ob{Ob} \DeclareMathOperator\Sh{Sh} \DeclareMathOperator\SheafExt{\mathcal{E}\mathit{xt}} \DeclareMathOperator\SheafHom{\mathcal{H}\mathit{om}} \DeclareMathOperator\Spec{Spec} \newcommand\colim{\mathop{\mathrm{colim}}\nolimits} \newcommand\lim{\mathop{\mathrm{lim}}\nolimits} \newcommand\Qcoh{\mathit{Qcoh}} \newcommand\Sch{\mathit{Sch}} \newcommand\QCohstack{\mathcal{QC}\!\mathit{oh}} \newcommand\Cohstack{\mathcal{C}\!\mathit{oh}} \newcommand\Spacesstack{\mathcal{S}\!\mathit{paces}} \newcommand\Quotfunctor{\mathrm{Quot}} \newcommand\Hilbfunctor{\mathrm{Hilb}} \newcommand\Curvesstack{\mathcal{C}\!\mathit{urves}} \newcommand\Polarizedstack{\mathcal{P}\!\mathit{olarized}} \newcommand\Complexesstack{\mathcal{C}\!\mathit{omplexes}} \newcommand\Pic{\mathop{\mathrm{Pic}}\nolimits} \newcommand\Picardstack{\mathcal{P}\!\mathit{ic}} \newcommand\Picardfunctor{\mathrm{Pic}} \newcommand\Deformationcategory{\mathcal{D}\!\mathit{ef}} \end{equation*}

The Stacks project

Bibliography entry abramovich-vistoli

author
Abramovich, Dan and Vistoli, Angelo
title
Compactifying the space of stable maps
year
2002
journal
Journal of the American Mathematical Society
volume
15
number
1
pages
27–75
arXiv
math/9908167

@ARTICLE{abramovich-vistoli,
    AUTHOR = "Abramovich, Dan and Vistoli, Angelo",
    TITLE = "Compactifying the space of stable maps",
    SHORTJOURNAL = "J. Amer. Math. Soc.",
    JOURNAL = "Journal of the American Mathematical Society",
    VOLUME = "15",
    YEAR = "2002",
    NUMBER = "1",
    PAGES = "27--75",
    EPRINT = "math/9908167",
    EPRINTTYPE = "arXiv"
}

      

This item is referenced in 3 tags:

  • in Subsection 104.5.4: Quotient stacks
  • in Subsection 104.5.8: Stacky curves
  • in Subsection 104.5.11: Theorem on formal functions and Grothendieck's Existence Theorem, which cites A.1.1 of abramovich-vistoli